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1324821740 = 2251121928813
BaseRepresentation
bin100111011110111…
…0010110011101100
310102022212220202212
41032331302303230
510203123243430
6335243305552
744554541024
oct11675626354
93368786685
101324821740
1161a911200
1230b81b2b8
13181618cb8
14c7d42a84
157b494b95
hex4ef72cec

1324821740 has 72 divisors (see below), whose sum is σ = 3219100080. Its totient is φ = 456382080.

The previous prime is 1324821697. The next prime is 1324821763. The reversal of 1324821740 is 471284231.

It is a junction number, because it is equal to n+sod(n) for n = 1324821697 and 1324821706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31574 + ... + 60386.

Almost surely, 21324821740 is an apocalyptic number.

1324821740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1324821740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609550040).

1324821740 is an abundant number, since it is smaller than the sum of its proper divisors (1894278340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1324821740 is a wasteful number, since it uses less digits than its factorization.

1324821740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28863 (or 28850 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 1324821740 is about 36398.1007746283. The cubic root of 1324821740 is about 1098.2953597296.

The spelling of 1324821740 in words is "one billion, three hundred twenty-four million, eight hundred twenty-one thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 121 190 209 220 242 380 418 484 605 836 1045 1210 2090 2299 2420 4180 4598 9196 11495 22990 28813 45980 57626 115252 144065 288130 316943 547447 576260 633886 1094894 1267772 1584715 2189788 2737235 3169430 3486373 5474470 6021917 6338860 6972746 10948940 12043834 13945492 17431865 24087668 30109585 34863730 60219170 66241087 69727460 120438340 132482174 264964348 331205435 662410870 1324821740